230013 has 16 divisors (see below), whose sum is σ = 389760. Its totient is φ = 131328.

The previous prime is 230003. The next prime is 230017. The reversal of 230013 is 310032.

It is a happy number.

It is not a de Polignac number, because 230013 - 2⁵ = 229981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 229977 and 230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (24360).

2²³⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

230013 is a deficient number, since it is larger than the sum of its proper divisors (159747).

230013 is a wasteful number, since it uses less digits than its factorization.

230013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 230013 is about 479.5967055767. The cubic root of 230013 is about 61.2704110789.

Adding to 230013 its reverse (310032), we get a palindrome (540045).

The spelling of 230013 in words is "two hundred thirty thousand, thirteen".